Entropy 2011, 13(12), 2036-2048; doi:10.3390/e13122036
Article

Eigenvalue Estimates Using the Kolmogorov-Sinai Entropy

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Received: 31 October 2011; in revised form: 28 November 2011 / Accepted: 12 December 2011 / Published: 20 December 2011
(This article belongs to the Special Issue Concepts of Entropy and Their Applications)
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: The scope of this paper is twofold. First, we use the Kolmogorov-Sinai Entropy to estimate lower bounds for dominant eigenvalues of nonnegative matrices. The lower bound is better than the Rayleigh quotient. Second, we use this estimate to give a nontrivial lower bound for the gaps of dominant eigenvalues of A and A + V.
Keywords: Kolmogorov-Sinai entropy; Parry’s theorem; Eigenvalue estimates
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MDPI and ACS Style

Shieh, S.-F. Eigenvalue Estimates Using the Kolmogorov-Sinai Entropy. Entropy 2011, 13, 2036-2048.

AMA Style

Shieh S-F. Eigenvalue Estimates Using the Kolmogorov-Sinai Entropy. Entropy. 2011; 13(12):2036-2048.

Chicago/Turabian Style

Shieh, Shih-Feng. 2011. "Eigenvalue Estimates Using the Kolmogorov-Sinai Entropy." Entropy 13, no. 12: 2036-2048.


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